{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 11f - Predicting Lens Misalignments Using Regression Models\n",
    "\n",
    "This notebook demonstrates how to predict the XYZ misalignments of the three elements of a Cooke triplet using wavefront data from three field points. It leverages machine learning regression models to explore the predictive power of optical wavefront data.\n",
    "\n",
    "In a separate notebook, we have generated a dataset of 1000 samples of random lens misalignments in XYZ. For each sample, we fit 36 Zernike standard coefficients to the wavefront map at 3 normalized field coordinates: (0, 0), (0, 0.7), (0, 1.0). The data is split into training, validation, and test sets, and preprocessed for improved regression model performance. The notebook compares multiple regression models, identifies the best-performing model, and validates its performance on both test and newly generated data.\n",
    "\n",
    "The sections of this notebook are as follows:\n",
    "\n",
    "1. Setup and Data Preparation: Load simulated data, preprocess it, and split it into training, validation, and test sets.\n",
    "2. Model Selection and Training: Train multiple regression models and compare their performance on validation data.\n",
    "3. Evaluation on Test Data: Validate the best model on test data and visualize its performance.\n",
    "4. Validation with New Data from Optiland: Apply the model to new, simulated data from Optiland and evaluate its effectiveness."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "from sklearn.linear_model import Ridge\n",
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.neural_network import MLPRegressor\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "from optiland import optic, wavefront, zernike"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 1: Setup and Data Preparation\n",
    "\n",
    "This section sets up the dataset that will be used to train our model. The inputs represent Zernike coefficients fit to wavefront data for three field points, while the outputs represent the XYZ misalignments of three lenses. Data is split into training, validation, and test sets, and feature scaling is applied to ensure models handle the data effectively.\n",
    "\n",
    "Key Steps:\n",
    "\n",
    "1. Data Loading: Load the data, which was simulated in the `Build_Dataset.ipynb` notebook.\n",
    "2. Data Splitting: Divide data into 70% training, 15% validation, and 15% testing for model development and evaluation.\n",
    "3. Feature Scaling: Standardize the inputs for consistent scaling across models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load data\n",
    "zernike_data = np.load(\"Cooke_triplet_wavefront_data.npy\")\n",
    "misalignment_data = pd.read_csv(\"Cooke_wavefront_data.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will plot a sample Zernike wavefront from the loaded data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_sample_zernike(index=0):\n",
    "    z = zernike.ZernikeStandard(coeffs=zernike_data[index, 0, :])\n",
    "    x, y = np.meshgrid(np.linspace(-1, 1, 512), np.linspace(-1, 1, 512))\n",
    "    radius = np.sqrt(x**2 + y**2)\n",
    "    phi = np.arctan2(y, x)\n",
    "\n",
    "    data = z.poly(radius, phi)\n",
    "    data[radius > 1] = np.nan\n",
    "\n",
    "    plt.imshow(data, extent=(-1, 1, -1, 1))\n",
    "    plt.colorbar()\n",
    "    plt.xlabel(\"X\")\n",
    "    plt.ylabel(\"Y\")\n",
    "    plt.title(\"Zernike polynomial\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sample_zernike(index=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = zernike_data.reshape(zernike_data.shape[0], -1)\n",
    "y = misalignment_data.to_numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_temp, y_train, y_temp = train_test_split(\n",
    "    X,\n",
    "    y,\n",
    "    test_size=0.3,\n",
    "    random_state=42,\n",
    ")\n",
    "X_val, X_test, y_val, y_test = train_test_split(\n",
    "    X_temp,\n",
    "    y_temp,\n",
    "    test_size=0.5,\n",
    "    random_state=42,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaler = StandardScaler()\n",
    "X_train_scaled = scaler.fit_transform(X_train)\n",
    "X_val_scaled = scaler.transform(X_val)\n",
    "X_test_scaled = scaler.transform(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 2: Model Selection and Training\n",
    "\n",
    "In this section, we evaluate three machine learning regression models: Ridge Regression, Random Forest Regression, and a Multi-Layer Perceptron (MLP). Each model is trained on the scaled training data, and its performance is measured using Mean Squared Error (MSE) and R² on the validation set.\n",
    "\n",
    "Key Steps:\n",
    "\n",
    "1. Model Initialization: Define the hyperparameters for each regression model.\n",
    "2. Training: Train each model on the training data.\n",
    "3. Validation: Evaluate the models' performance on the validation data.\n",
    "4. Comparison: Rank models by MSE to identify the most promising candidate.\n",
    "\n",
    "Testing multiple models allows us to compare their performance and select the best one for our specific problem. Different models capture relationships in data differently. Ridge regression is linear, Random Forest is nonlinear but interpretable, and MLP provides a more complex, deep learning approach."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "models = {\n",
    "    \"Ridge Regression\": Ridge(alpha=1.0),\n",
    "    \"Random Forest\": RandomForestRegressor(n_estimators=100, random_state=42),\n",
    "    \"MLP Regressor\": MLPRegressor(\n",
    "        hidden_layer_sizes=(64, 64),\n",
    "        max_iter=500,\n",
    "        random_state=42,\n",
    "    ),\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ridge Regression -> MSE: 0.0006, R^2: 0.9916\n",
      "Random Forest -> MSE: 0.0283, R^2: 0.6387\n",
      "MLP Regressor -> MSE: 0.0173, R^2: 0.7789\n"
     ]
    }
   ],
   "source": [
    "results = {}\n",
    "for name, model in models.items():\n",
    "    model.fit(X_train_scaled, y_train)\n",
    "    y_pred = model.predict(X_val_scaled)\n",
    "    mse = mean_squared_error(y_val, y_pred)\n",
    "    r2 = r2_score(y_val, y_pred)\n",
    "    results[name] = {\"MSE\": mse, \"R^2\": r2}\n",
    "    print(f\"{name} -> MSE: {mse:.4f}, R^2: {r2:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 3: Evaluate the Best Model on Test Data\n",
    "\n",
    "After selecting the best model based on validation performance, we evaluate it on the held-out test set. The test set simulates unseen data, allowing us to measure the model’s generalization ability.\n",
    "\n",
    "Key Steps:\n",
    "\n",
    "1. Best Model Selection: Choose the model with the lowest validation MSE. For us, this is the Ridge regressor.\n",
    "2. Test Set Evaluation: Compute metrics (MSE and R²) on the test set to quantify performance.\n",
    "3. Visualization: Plot predicted vs. true misalignments to assess prediction quality."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Choose the best-performing model (lowest MSE)\n",
    "best_model_name = min(results, key=lambda x: results[x][\"MSE\"])\n",
    "best_model = models[best_model_name]\n",
    "y_test_pred = best_model.predict(X_test_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Best Model: Ridge Regression\n",
      "Test MSE: 0.0007 mm, Test R^2: 0.9915\n"
     ]
    }
   ],
   "source": [
    "test_mse = mean_squared_error(y_test, y_test_pred)\n",
    "test_r2 = r2_score(y_test, y_test_pred)\n",
    "print(f\"\\nBest Model: {best_model_name}\")\n",
    "print(f\"Test MSE: {test_mse:.4f} mm, Test R^2: {test_r2:.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(y_test, y_test_pred, alpha=0.7, edgecolors=\"k\")\n",
    "plt.plot([-0.5, 0.5], [-0.5, 0.5], \"r--\", label=\"Ideal Prediction\")\n",
    "plt.xlabel(\"True Values\")\n",
    "plt.ylabel(\"Predicted Values\")\n",
    "plt.title(f\"{best_model_name} Predictions on Test Data\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While not perfect, the Ridge regressor is able to capture the underlying patterns in the data well, as indicated by its high R² score and low MSE on both the validation and test sets. However, there are still some discrepancies between the predicted and true values, indicating that there is room for improvement."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 4: Validate with New Data from Optiland\n",
    "\n",
    "This section validates the model using new data generated with Optiland. By applying the model to previously unseen, simulated data, we further evaluate its ability to generalize beyond the training distribution.\n",
    "\n",
    "While technically not required, as the test data was also unseen by the model in the last section, this final validation also demonstrates how Optiland calculations integrate into the model workflow.\n",
    "\n",
    "Key Steps:\n",
    "\n",
    "1. New Data Simulation: Generate Zernike coefficients and misalignment targets from Optiland simulations.\n",
    "2. Scaling: Preprocess the new data using the same scaling applied to the training data. This ensures no data leakage.\n",
    "3. Prediction and Evaluation: Predict misalignments and compute MSE to measure performance.\n",
    "4. Visualization: Compare predictions with true values using scatter plots to assess accuracy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "class CookeTriplet(optic.Optic):\n",
    "    \"\"\"Represents a Cooke triplet lens system with 3 lenses that can be misaligned.\"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        self.reset()\n",
    "\n",
    "    def reset(self):\n",
    "        \"\"\"Reset the Cooke triplet to its default configuration.\"\"\"\n",
    "        optic.Optic.__init__(self)  # reset full system\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(index=1, radius=22.01359, thickness=3.25896, material=\"SK16\")\n",
    "        self.add_surface(index=2, radius=-435.76044, thickness=6.00755)\n",
    "        self.add_surface(\n",
    "            index=3,\n",
    "            radius=-22.21328,\n",
    "            thickness=0.99997,\n",
    "            material=(\"F2\", \"schott\"),\n",
    "        )\n",
    "        self.add_surface(index=4, radius=20.29192, thickness=4.75041, is_stop=True)\n",
    "        self.add_surface(index=5, radius=79.68360, thickness=2.95208, material=\"SK16\")\n",
    "        self.add_surface(index=6, radius=-18.39533, thickness=42.20778)\n",
    "        self.add_surface(index=7)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"EPD\", value=10)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=14)\n",
    "        self.add_field(y=20)\n",
    "\n",
    "        self.add_wavelength(value=0.55, is_primary=True)\n",
    "\n",
    "    def decenter(self, lens_idx, dx=0, dy=0, dz=0):\n",
    "        \"\"\"Move a lens in the Cooke triplet system by a specified amount.\"\"\"\n",
    "        for idx in [lens_idx * 2 + 1, lens_idx * 2 + 2]:\n",
    "            surf = self.surface_group.surfaces[idx]  # get surface\n",
    "            cs = surf.geometry.cs  # get coordinate system\n",
    "\n",
    "            # move surface\n",
    "            cs.x += dx\n",
    "            cs.y += dy\n",
    "            cs.z += dz\n",
    "\n",
    "    def randomly_misalign(self):\n",
    "        \"\"\"Randomly misalign the Cooke triplet lenses.\"\"\"\n",
    "        delta = np.random.uniform(-0.5, 0.5, size=(3, 3))\n",
    "        for i in range(3):\n",
    "            self.decenter(i, delta[i, 0], delta[i, 1], delta[i, 2])\n",
    "\n",
    "        return delta.ravel().reshape(1, -1)\n",
    "\n",
    "    def fit_zernike(self):\n",
    "        \"\"\"Fit the Cooke triplet wavefronts at 3 field points to Zernike polynomials.\"\"\"\n",
    "        coefficients = []\n",
    "        for field in [0.0, 0.7, 1.0]:\n",
    "            z = wavefront.ZernikeOPD(\n",
    "                lens,\n",
    "                field=(0, field),\n",
    "                wavelength=0.55,\n",
    "                zernike_type=\"standard\",\n",
    "                num_terms=36,\n",
    "            )\n",
    "            coefficients.append(z.coeffs)\n",
    "\n",
    "        return np.array(coefficients).reshape(1, -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = CookeTriplet()\n",
    "lens.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Randomly misalign the Cooke triplet\n",
    "y_new_true = lens.randomly_misalign()\n",
    "\n",
    "# Fit the Zernike coefficients\n",
    "X_new = lens.fit_zernike()\n",
    "\n",
    "# Scale the new data\n",
    "X_new_scaled = scaler.transform(X_new)\n",
    "\n",
    "# Predict the misalignment\n",
    "y_new_pred = best_model.predict(X_new_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Performance on New Data:\n",
      "MSE: 0.0003 mm\n"
     ]
    }
   ],
   "source": [
    "new_mse = mean_squared_error(y_new_true, y_new_pred)\n",
    "print(\"\\nPerformance on New Data:\")\n",
    "print(f\"MSE: {new_mse:.4f} mm\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lens 1 dx1: True = 0.012 mm, Predicted = -0.008 mm\n",
      "Lens 1 dy1: True = 0.081 mm, Predicted = 0.072 mm\n",
      "Lens 1 dz1: True = -0.080 mm, Predicted = -0.076 mm\n",
      "Lens 2 dx2: True = 0.380 mm, Predicted = 0.368 mm\n",
      "Lens 2 dy2: True = -0.135 mm, Predicted = -0.138 mm\n",
      "Lens 2 dz2: True = 0.353 mm, Predicted = 0.365 mm\n",
      "Lens 3 dx3: True = -0.045 mm, Predicted = -0.064 mm\n",
      "Lens 3 dy3: True = -0.389 mm, Predicted = -0.378 mm\n",
      "Lens 3 dz3: True = -0.474 mm, Predicted = -0.436 mm\n"
     ]
    }
   ],
   "source": [
    "labels = [\n",
    "    \"Lens 1 dx1\",\n",
    "    \"Lens 1 dy1\",\n",
    "    \"Lens 1 dz1\",\n",
    "    \"Lens 2 dx2\",\n",
    "    \"Lens 2 dy2\",\n",
    "    \"Lens 2 dz2\",\n",
    "    \"Lens 3 dx3\",\n",
    "    \"Lens 3 dy3\",\n",
    "    \"Lens 3 dz3\",\n",
    "]\n",
    "true_vs_pred = []\n",
    "\n",
    "for i, label in enumerate(labels):\n",
    "    true_value = y_new_true[0, i]\n",
    "    pred_value = y_new_pred[0, i]\n",
    "    true_vs_pred.append(\n",
    "        f\"{label}: True = {true_value:.3f} mm, Predicted = {pred_value:.3f} mm\",\n",
    "    )\n",
    "\n",
    "for item in true_vs_pred:\n",
    "    print(item)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(y_new_true, y_new_pred, alpha=0.7, edgecolors=\"k\")\n",
    "plt.plot([-0.5, 0.5], [-0.5, 0.5], \"r--\", label=\"Ideal Prediction\")\n",
    "plt.xlabel(\"True Values\")\n",
    "plt.ylabel(\"Predicted Values\")\n",
    "plt.title(f\"{best_model_name} Predictions on New Data\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "\n",
    "This notebook demonstrates how regression models can predict lens misalignments of a Cooke triplet using Zernike coefficients as inputs. By comparing models, validating performance, and testing on new data, we achieve a robust understanding of the problem and (one possible) solution.\n",
    "\n",
    "Key takeaways:\n",
    "\n",
    "1. Wavefront data encoded as Zernike coefficients can effectively predict lens misalignments.\n",
    "2. For this problem, Ridge regression significantly outperforms both Random Forests and a MLP. This shows that more complex models are not always the best option and that linear models often are the best approach."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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